8151532200 has 672 divisors, whose sum is σ = 33340872000. Its totient is φ = 1851776640.

The previous prime is 8151532199. The next prime is 8151532201. The reversal of 8151532200 is 22351518.

It is a happy number.

8151532200 is a `hidden beast` number, since 81 + 51 + 532 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8151532199) and next prime (8151532201).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8151532201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 50009319 + ... + 50009481.

Almost surely, 2^8151532200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8151532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670436000).

8151532200 is an abundant number, since it is smaller than the sum of its proper divisors (25189339800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8151532200 is a wasteful number, since it uses less digits than its factorization.

8151532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8151532200 is about 90285.8360984712. The cubic root of 8151532200 is about 2012.5487826864.

Adding to 8151532200 its reverse (22351518), we get a palindrome (8173883718).

The spelling of 8151532200 in words is "eight billion, one hundred fifty-one million, five hundred thirty-two thousand, two hundred".